Consider the function p(x) = x^2 + 6x + 5.
what is the average rate of change from x=1 to x=5

The average rate of change is 12.

Step-by-step explanation:

Given

p(x)= x^2+6x+5

The average rate of change in the given interval a ≤ x ≤ b is given by the expression

Rate of change=  (p(b)-p(a))/(b-a)

Here p(b) is the value of function at point b and p(a) is the value of function point a.  

From the question,

a = 1  

and  

b = 5

So,

Rate of change=  (p(5)-p(1))/(5-1)

Now,  

p(5)= (5)^2+6(5)+5

p(5)=25+30+5

p(5)=60

And

p(1)= (1)^2+6(1)+5

p(1)=1+6+5

p(1)=12

Putting in the formula

Rate of change=  (60-12)/(5-1)

=  48/4

=12

ok

step-by-step explanation:

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3